The effects of a surfactant on two-dimensional pattern formation in epitaxi
al growth are explored theoretically using a simple model, in which an adat
om becomes immobile only after overcoming a large energy barrier as it exch
anges positions with a surfactant atom, and subsequent growth from such a s
eed is further shielded. Within this model, a fractal-to-compact island sha
pe transition can be induced by either decreasing the growth temperature or
increasing the deposition flux. This and other intriguing findings are in
excellent qualitative agreement with recent experiments.